Information on Result #683943
Linear OA(5128, 325, F5, 42) (dual of [325, 197, 43]-code), using construction XX applied to Ce(41) ⊂ Ce(38) ⊂ Ce(36) based on
- linear OA(5123, 313, F5, 42) (dual of [313, 190, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5117, 313, F5, 39) (dual of [313, 196, 40]-code), using an extension Ce(38) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(5113, 313, F5, 37) (dual of [313, 200, 38]-code), using an extension Ce(36) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(53, 10, F5, 2) (dual of [10, 7, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.